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Finding the Third Proportional to 49,652,704 and 77,497,160

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Solution

The third proportional to 49,652,704 and 77,497,160 is: 120,956,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,652,704 : 77,497,160 = 77,497,160 : x
  2. Step 2: Convert to fraction form
    49,652,704/77,497,160 = 77,497,160/x
  3. Step 3: Cross multiply
    49,652,704x = 77,497,160 × 77,497,160
  4. Step 4: Simplify right side
    49,652,704x = 6,005,809,808,065,600
  5. Step 5: Solve for x
    x = 6,005,809,808,065,600/49,652,704
  6. Step 6: Final answer
    x = 120,956,349.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.